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Simplifying 7(n + -3) + 11 = 18 + -1(6 + 2n) Reorder the terms: 7(-3 + n) + 11 = 18 + -1(6 + 2n) (-3 * 7 + n * 7) + 11 = 18 + -1(6 + 2n) (-21 + 7n) + 11 = 18 + -1(6 + 2n) Reorder the terms: -21 + 11 + 7n = 18 + -1(6 + 2n) Combine like terms: -21 + 11 = -10 -10 + 7n = 18 + -1(6 + 2n) -10 + 7n = 18 + (6 * -1 + 2n * -1) -10 + 7n = 18 + (-6 + -2n) Combine like terms: 18 + -6 = 12 -10 + 7n = 12 + -2n Solving -10 + 7n = 12 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -10 + 7n + 2n = 12 + -2n + 2n Combine like terms: 7n + 2n = 9n -10 + 9n = 12 + -2n + 2n Combine like terms: -2n + 2n = 0 -10 + 9n = 12 + 0 -10 + 9n = 12 Add '10' to each side of the equation. -10 + 10 + 9n = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 9n = 12 + 10 9n = 12 + 10 Combine like terms: 12 + 10 = 22 9n = 22 Divide each side by '9'. n = 2.444444444 Simplifying n = 2.444444444
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